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 },
 "distance": {
  "d": 19,
  "X": {
   "value": 19,
   "confidence": "upper_bound",
   "witness": [
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   ]
  },
  "Z": {
   "value": 19,
   "confidence": "upper_bound",
   "witness": [
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   ]
  }
 },
 "provenance": {
  "authors": [
   "@FarLab"
  ],
  "construction": "bivariate bicycle on Z_12 x Z_10: A = 1 + x^3y^9 + x^9y^6 + x^10y^5, B = 1 + x^2y + x^3y^8 + x^10; H_X = [A | B], H_Z = [B^T | A^T]",
  "origin": "submission",
  "date": "2026-10-17",
  "model": "Claude Opus 5.5",
  "search_budget": {
   "candidates_screened": 500010,
   "ris_trials_per_side": 20000000,
   "cpu_hours": 8.3,
   "tool": "research/kit/search.py + gf2_fast on Brev n2d-highcpu-64"
  },
  "notes": "Not equivalent to 240-20-18.json despite the shared Weisfeiler-Leman signature: at a matched budget (research/audits/leader_audit.py pair, 10000000 gf2_fast trials per seed, seeds 4242,5353, pair depth 8) the peer reads d <= 18 and this code d <= 19; equivalent codes have equal distance, so a weight-18 logical would exist here too. The pair audit's decision was 'credible: both claims held at matched depth'."
 },
 "family": "bivariate-bicycle"
}